Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - 4.2 - Writing Equations in Point-Slope Form - Exercises - Page 186: 36

Answer

1) $y-(-5)=\frac25(x-12)$ 2) $y=\frac25x-\frac{49}{5}$

Work Step by Step

Represent this function first in point-slope form: $$y-y_1=m(x-x_1)$$ $$y-(-5)=\frac25(x-12)$$ Now simplify to represent secondly in slope-intercept form: $$y+5=\frac25(x-12)$$ $$y+5=\frac25x-\frac25\cdot12$$ $$y=\frac25x-\frac25\cdot12-5$$ $$y=\frac25x-\frac{24}{5}-5$$ $$y=\frac25x-\frac{49}{5}$$
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